Lunging

Lunging

Description?
The maximum damage of Combust, Dismember and Fragmentation shot is increased by 20% weapon damage per rank, but enemies that move will only take 1.5X increased damage.
Release date	29 March 2016 (Update)
Gizmo type	Weapon
Maximum rank	3
Invention level required	89

Lunging is an Invention perk that increases the base ability damage of Combust, Dismember, and Fragmentation shot at the cost of less movement damage. It can be created in weapon gizmos.

Damage

Rank	Damage Increase	Minimum Hit Chance	Average Damage				Effective Increase
			Standing (1 Hit)	Moving (1 Hit)	Standing (5 Hits)	Moving (5 Hits)	Standing	Moving
N/A	±0%	53.19%	24.12%	48.24%	120.60%	241.19%	0%	0%
1	+20%	48.08%	25.61%	38.41%	128.04%	192.06%	6.17%	-20.37%
2	+40%	43.86%	27.19%	40.78%	135.93%	203.89%	12.72%	-15.46%
3	+60%	40.32%	28.83%	43.25%	144.16%	216.24%	19.54%	-10.34%

Calculations

The base damage for the affected bleeds is given by:

${\text{Ability damage}}\times \max {\big (}random(1,100)\times 188\%,100\%{\big )}$

Where values less than 100% ability damage are boosted to the minimum of 100%.

$random(1,100)$ represents a random number chosen in the range $[1,100]$.

From this, we can calculate the chance for the ability to perform its minimum possible damage:

${\frac {100}{188}}\approx 53.19\%$

The damage multiplier from lunging is added to the maximum ability damage and has no effect on the minimum hit. As such, for rank $R$ lunging, damage follows:

${\text{Ability damage}}\times \max {\big (}random(1,100)\times (188+20R)\%,100\%{\big )}$

This formula also affects the chance to hit minimum damage:

$\frac{100}{188+20R}$

Knowing this, we can also calculate the average hit $A$:

$A = 100P + Q(144 + 10R)$

Where

$P$ is the chance to hit minimum damage; $P = \frac{100}{188+20R}$

 

$Q$ is the chance to not hit minimum damage; $Q = 1-P$

The movement multiplier is added after all other calculations are done, so the average hit is simply multiplied by that number for analysis:

$A_{moving} = \begin{cases} 2.0 \times A & \text{if no Lunging} \\ 1.5 \times A & \text{if Lunging} \\ \end{cases}$

The movement multiplier is only present on Combust and Fragmentation Shot; Dismember does not deal any increased damage for a moving target, with or without this perk.

Sources

Material		Rarity	Perk ranks with X materials
			1	2	3	4	5
	Avernic components	Rare	0	1	2	3	3

Suggested gizmos

Gizmo layout	Possible perks
	Lunging 3
	Lunging 3 Mobile (rare) Other possible perks: Dragon Bait
	Lunging 3 Mobile (rare) Other possible perks: Demon Bait